Heat equation on complete noncompact manifolds

被引：0
|
作者：
Zhao C. [1 ,2 ]
机构：
[1] Postdoctoral Research Station of Management College, Hefei University of Technology
[2] Department of Mathematics, Anhui University of Architecture
来源：
Tongji Daxue Xuebao/Journal of Tongji University | 2011年 / 39卷 / 06期
关键词：
Gradient estimate; Heat equation; Hessian estimate; Positive solutions;
D O I：
10.3969/j.issn.0253-374x.2011.06.025
中图分类号：
学科分类号：
摘要：
The heat equation on Kähler manifolds with nonnegative and bounded bisectional curvature was studied. The gradient estimate of positive solutions and the complex Hessian estimate on it were obtained under a less condition.
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页码：924 / 925+940
相关论文
共 6 条
  • [1] Cheng S.Y., Yau S.T., Differential equations on Riemannian manifolds and their geometric applications, Comm Pure Apple Math, 28, 3, (1975)
  • [2] Li P., Yau S.T., On the parabolic kernel of the Schrödinger operator, Acta Math, 156, 1, (1986)
  • [3] Hamilton R.S., A matrix Harnack estimate for the heat equation, Comm Anal Geom, 1, 1, (1993)
  • [4] Souplet P., Zhang Q.S., Sharp gradient estimate and Yau Liouville theorem for the heat equation on noncompact manifolds, Bulletin of the London Mathematical Society, 38, 6, (2006)
  • [5] Ni L., Tam L.F., Liouville property of plurisubharmonic functions
  • [6] Ni L., Shi Y.G., Tam L.F., Poisson equation, poincaré-Lelong equation and curvature decay on complete Kähler manifolds, J Diff Geom, 57, 2, (2001)
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